Title
Lower Bounds by Recursion Theoretic Arguments (Extended Abstract)
Abstract
Using methods and notions stemming from recursion theory, new lower bounds on the "distance" between certain intractable sets (like NP-complete or EXPTIME-complete sets) and the sets in P are obtained. Here, the distance of two sets A and B is a function on natural numbers that, for each n, gives the number of strings of size n on which A and B differ. Yesha [6] has shown that each NP-complete set has a distance of at least O(log log n) from each set in P, assuming P ≠ NP. Similarly, whithout an additional assumption, each EXPTIME-complete set has a distance of at least O(log log n) from each set in P.
Year
DOI
Venue
1986
10.1007/3-540-16761-7_86
ICALP
Keywords
Field
DocType
recursion theoretic arguments,extended abstract,lower bounds,recursion theory,lower bound
Discrete mathematics,Combinatorics,Double recursion,Recursion,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-16761-7
0
0.34
References 
Authors
6
1
Name
Order
Citations
PageRank
Uwe Schöning1998105.69